## Abstract

Boundary element formulations for the treatment of boundary value problems in 2-D elasticity with random boundary conditions are presented. It is assumed that random boundary conditions may be described as second order random fields that possess finite moments up to the second order. Spatially correlated time-independent and time-dependent boundary conditions are considered. For time-independent boundary conditions, a stochastic equivalent of Somigliana's identity is utilized to obtain deterministic integral equations for mathematical expectations and covariances of the response variables. The random field used to describe the boundary conditions is discretized into a finite set of random variables defined at the element nodes. Quadratic, conforming boundary elements are used to arrive at discretized equations for the response statistics of unknown boundary variables. These values may then be used to calculate the response statistics of internal variables and boundary stresses. The above procedure is next extended for the treatment of time-dependent, spatially correlated boundary conditions.

Original language | English (US) |
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Pages (from-to) | 1556-1566 |

Number of pages | 11 |

Journal | Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference |

Volume | 3 |

State | Published - Dec 1 1994 |

Externally published | Yes |

Event | Proceedings of the 35th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Part 1 (of 5) - Hilton Head, SC, USA Duration: Apr 18 1994 → Apr 20 1994 |

## All Science Journal Classification (ASJC) codes

- Architecture
- Materials Science(all)
- Aerospace Engineering
- Mechanics of Materials
- Mechanical Engineering